In this research investigation, the authors have presented some important concepts of the Universal Representation Theory—Rigour II. These include—Universal Ensembling, The Objective of Any Aspect Primality, Statisticity Determination, Notion Of True Life Aspect Primality and True Redundancy Aspect Primality of Any Aspect Primality of Concern, Notion of Exhaustive True Life Aspect Primality and Exhaustive True Redundancy Aspect Primality of Any Aspect Primality of Concern, The Notion of a Universe Set of a Set, The Notion of the Manifestations Universe of a Given Set, Recursive Least Count of Any Aspect Primality of Concern, Concatenation of Aspect Primality Sets, Computation of the Foundational Universal Basis Letters of the Recursive Expansion of the English Alphabet Using the Universal Representation Theory, Inverse Phonetics and Applications of the Same, Recursive Scale Shifting Scheme for Any Universe Set Of Concern, Robustness of Any Aspect Primality, Computation of Prime Sequence Trends of Any Given Data, Higher Order Prime Sequence Trends, Higher Order Askew Prime Sequence Trends, Force (Interactor) Carriers, Connecting Two or More Aspect Primalities via Their Recursive Least Count, Advanced Notion of a Universe Set of Any Given Set, Universal Recursive Wave Equation of The Universe, Cause Effect Analysis to Exhaustiveness, Lateral Cause Effect Analysis to Exhaustiveness, The Whereabouts, Whenabouts, Whatabouts, and Howabouts to Exhaustion, Of an Effect of a Cause and Its Contra Cause, Perception Window Size, Parallax, The Modified Dirac Type Commutator That Can Explain the Parallax Error Effects, Optimal Cross Product Computed from Reversed Time Function-Based Invariance of an Aspect Primality of Concern Flowing Along an Onward Time Function, Concrete Aspect Primality State (Matter) Structural Integrity Entitification Potential Quantum States Management, Developmental Directed Evolution, Hyper Spectral Eigen Value Analysis in the Universal Metric, Some Notes on Fractional Order Calculus, and Primeness Test.